41163020121600 has 2400 divisors, whose sum is σ = 174909656940480. Its totient is φ = 9527438868480.

The previous prime is 41163020121599. The next prime is 41163020121697. The reversal of 41163020121600 is 612102036114.

It is a happy number.

41163020121600 is a `hidden beast` number, since 4 + 1 + 1 + 6 + 30 + 2 + 0 + 1 + 21 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 38723442669 + ... + 38723443731.

Almost surely, 2^{41163020121600} is an apocalyptic number.

41163020121600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41163020121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87454828470240).

41163020121600 is an abundant number, since it is smaller than the sum of its proper divisors (133746636818880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41163020121600 is a wasteful number, since it uses less digits than its factorization.

41163020121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 41163020121600 its reverse (612102036114), we get a palindrome (41775122157714).

The spelling of 41163020121600 in words is "forty-one trillion, one hundred sixty-three billion, twenty million, one hundred twenty-one thousand, six hundred".